Answer:
The dependent variable is the number of plays he carries the ball.
The independent variable is the number of touchdowns he scores.
The dependent variable is the number of yards he gains.
Step-by-step explanation:
Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.
The dependent variable is the number of plays he carries the ball.
The independent variable is the number of plays he carries the ball.
The independent variable is the number of touchdowns he scores.
The dependent variable is the number of yards he gains.
The dependent variable is the number of touchdowns he scores.
y = kx
y = dependent variable. it is the variable that is explained by the dependent variable
x = is the variable that explains the dependent variable
Answer:
B ) The slope of the triangle P and Q is equal to 2
Step-by-step explanation:
slope of a line, in this case is hypotenuse, is given by rise by run.
For triangle P
Here rise is 6 units and run is 3 units
slope= rise/run = 6/3 = 2
Also for triangle Q
rise is 3 and run is 1.5
hence slope= 3/1.5=2
hence 2 is the answer
Answer:
416666666/100000000
Step-by-step explanation:
To write 4.16666666 as a fraction you have to write 4.16666666 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
10m + -0.4 = 9.6
-0.4 + 10m = 9.6
-0.4 + 10m = 9.6
Solving for 'm'Move all terms containing m to the left, all other terms to the right.
-0.4 + 0.4 + 10m = 9.6 + 0.4
Combine like terms: -0.4 + 0.4 = 0.00.0 + 10m = 9.6 + 0.410m = 9.6 + 0.4
Combine like terms: 9.6 + 0.4 = 1010m = 10
Divide each side by '10'.<span>m = 1</span>
Try to relax. Your desperation has surely progressed to the point where
you're unable to think clearly, and to agonize over it any further would only
cause you more pain and frustration.
I've never seen this kind of problem before. But I arrived here in a calm state,
having just finished my dinner and spent a few minutes rubbing my dogs, and
I believe I've been able to crack the case.
Consider this: (2)^a negative power = (1/2)^the same power but positive.
So:
Whatever power (2) must be raised to, in order to reach some number 'N',
the same number 'N' can be reached by raising (1/2) to the same power
but negative.
What I just said in that paragraph was: log₂ of(N) = <em>- </em>log(base 1/2) of (N) .
I think that's the big breakthrough here.
The rest is just turning the crank.
Now let's look at the problem:
log₂(x-1) + log(base 1/2) (x-2) = log₂(x)
Subtract log₂(x) from each side:
log₂(x-1) - log₂(x) + log(base 1/2) (x-2) = 0
Subtract log(base 1/2) (x-2) from each side:
log₂(x-1) - log₂(x) = - log(base 1/2) (x-2) Notice the negative on the right.
The left side is the same as log₂[ (x-1)/x ]
==> The right side is the same as +log₂(x-2)
Now you have: log₂[ (x-1)/x ] = +log₂(x-2)
And that ugly [ log to the base of 1/2 ] is gone.
Take the antilog of each side:
(x-1)/x = x-2
Multiply each side by 'x' : x - 1 = x² - 2x
Subtract (x-1) from each side:
x² - 2x - (x-1) = 0
x² - 3x + 1 = 0
Using the quadratic equation, the solutions to that are
x = 2.618
and
x = 0.382 .
I think you have to say that <em>x=2.618</em> is the solution to the original
log problem, and 0.382 has to be discarded, because there's an
(x-2) in the original problem, and (0.382 - 2) is negative, and
there's no such thing as the log of a negative number.
There,now. Doesn't that feel better.
